Search a number
-
+
100000212100 = 22524549219829
BaseRepresentation
bin101110100100001111…
…0100010010010000100
3100120010012001010012021
41131020132202102010
53114300023241400
6113534531332524
710140045530605
oct1351036422204
9316105033167
10100000212100
1139456570498
1217469a51144
139578885149
144ba90b7dac
15290427c71a
hex17487a2484

100000212100 has 36 divisors (see below), whose sum is σ = 217049150500. Its totient is φ = 39991109760.

The previous prime is 100000212073. The next prime is 100000212101. The reversal of 100000212100 is 1212000001.

It can be written as a sum of positive squares in 6 ways, for example, as 391802436 + 99608409664 = 19794^2 + 315608^2 .

It is not an unprimeable number, because it can be changed into a prime (100000212101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 344986 + ... + 564814.

Almost surely, 2100000212100 is an apocalyptic number.

100000212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100000212100 is an abundant number, since it is smaller than the sum of its proper divisors (117048938400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100000212100 is a wasteful number, since it uses less digits than its factorization.

100000212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224392 (or 224385 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100000212100 its reverse (1212000001), we get a palindrome (101212212101).

The spelling of 100000212100 in words is "one hundred billion, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4549 9098 18196 22745 45490 90980 113725 219829 227450 439658 454900 879316 1099145 2198290 4396580 5495725 10991450 21982900 1000002121 2000004242 4000008484 5000010605 10000021210 20000042420 25000053025 50000106050 100000212100